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Finding the Fourth Proportional to 361,322.84, 498,585.17 and 200,137.91

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Solution

The fourth proportional to 361,322.84, 498,585.17 and 200,137.91 is: 276,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,322.84 : 498,585.17 = 200,137.91 : x
  2. Step 2: Convert to fraction form
    361,322.84/498,585.17 = 200,137.91/x
  3. Step 3: Cross multiply
    361,322.84x = 498,585.17 × 200,137.91
  4. Step 4: Simplify right side
    361,322.84x = 99,785,791,888.21
  5. Step 5: Solve for x
    x = 99,785,791,888.21/361,322.84
  6. Step 6: Final answer
    x = 276,167.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.